MS Math SPED Resource Map

LEARNING INTENTIONS

●​ Understand that the congruency of two dimensional figures is maintained while undergoing rigid transformations. ●​ Describe the transformation of a figure as a rotation, reflection, translation or a combination of transformations. ●​ Understand congruence via transformations using physical models, transparencies, or geometry software. ●​ Observe that orientation of the plane is preserved in rotations and translations, but not with reflections. ●​ Understand characteristics of dilations, translations, rotations, and reflections of two-dimensional figures on the coordinate plane (describing transformations as functions takes place in Secondary Mathematics I). ●​ Effects of transformations might include: size/shape does not change in translations, reflections and rotations; orientation changes with reflections. ●​ Understand that any combination of rotations, reflections, translations, and dilations will result in a similar figure. ●​ Describe the sequence of transformations needed to show how one figure is similar to another. ●​ Perform transformations using physical models, transparencies, or geometry software. (Rigid motion transformations will be addressed in Secondary Mathematics I.) ●​ Understand similarity using physical models, transparencies, or geometry software. (Properties of dilations given by a center and a scale factor will be addressed in Secondary Mathematics II). ●​ Use informal arguments (proofs occur in Secondary Mathematics II) to establish facts about: 1. ​ the angle sum of triangles. 2. ​ exterior angle of triangles. 3. ​ about the angles created when parallel lines are cut by a transversal. 4. ​ the angle-angle criterion for similarity of triangles. ●​ Determine the slope of a line as the ratio of the leg lengths of similar right triangles. ●​ Explain why the slope is the same between any two distinct points on a line using similar right triangles. ●​ Derive an equation in the form y = mx + b from a graph of a line on the coordinate plane .

KEY VOCABULARY

●​ Dilation ●​ Center (of a dilation)

●​ Similar ●​ Slope